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204011110329 = 313311732933329
BaseRepresentation
bin1011111000000000000…
…0100111111110111001
3201111120212220012110020
42332000000213332321
511320303321012304
6233415454041053
720511404553135
oct2760000477671
9644525805406
10204011110329
117957aa53814
1233656aa9189
1316313330940
149c34ac83c5
1554906915d9
hex2f80027fb9

204011110329 has 64 divisors (see below), whose sum is σ = 305266268160. Its totient is φ = 120344739840.

The previous prime is 204011110309. The next prime is 204011110339. The reversal of 204011110329 is 923011110402.

204011110329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204011110329 - 219 = 204010586041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 204011110299 and 204011110308.

It is not an unprimeable number, because it can be changed into a prime (204011110309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61281337 + ... + 61284665.

It is an arithmetic number, because the mean of its divisors is an integer number (4769785440).

Almost surely, 2204011110329 is an apocalyptic number.

It is an amenable number.

204011110329 is a deficient number, since it is larger than the sum of its proper divisors (101255157831).

204011110329 is a wasteful number, since it uses less digits than its factorization.

204011110329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842.

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 204011110329 in words is "two hundred four billion, eleven million, one hundred ten thousand, three hundred twenty-nine".

Divisors: 1 3 13 31 39 93 173 293 403 519 879 1209 2249 3329 3809 5363 6747 9083 9987 11427 16089 27249 43277 50689 69719 103199 118079 129831 152067 209157 309597 354237 575917 658957 975397 1341587 1571359 1727751 1976871 2926191 4024761 4714077 7486921 12680161 17853427 20427667 22460763 30237307 38040483 53560281 61283001 90711921 168743681 232094551 393084991 506231043 696283653 1179254973 2193667853 5231054111 6581003559 15693162333 68003703443 204011110329